Golden Rectangle Calculator
Math
Golden Rectangle with explicit inputs, formulas and domain checks.
Formula
φ=(1+√5)/2; longer=φ×shorter; area=φ×shorter².
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Ideal golden rectangle, using a floating-point approximation of φ.
Example Calculation
Example inputs
- Shorter side: 2 units
Short side2 gives long side1+√5≈3.2361 and area≈6.4721.
Frequently asked questions
How do I use this calculator?
Enter shorter side. The result updates automatically. Use Reset to restore the example values.
What method does it use?
φ=(1+√5)/2; longer=φ×shorter; area=φ×shorter².. Ideal golden rectangle, using a floating-point approximation of φ.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.